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Likurg_2 [28]
3 years ago
13

The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Ju

stify your answer
Mathematics
1 answer:
Aleks [24]3 years ago
6 0
To do this we need to find the factors of 60 these are:
1 and 60
2 and 30
3 and 20
4 and 15
5 and 12
6 and 10
There is 1 pair that have a difference of 7 and that is 5 and 12
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  • System is given below

Step-by-step explanation:

  • Let (applicable to all three lines below)
  • Hard candy = x kg with price $1.60/kg
  • Gummy worms = y kg with price $2.20/kg
  • Total weight = 50 kg with mixed price $1.75/kg

<u>Required equations:</u>

  • x + y = 50                        total weight
  • 1.60x + 2.20y = 50*1.75      total price

=========================================

<u><em>Note</em></u><em>. It says don't solve but the solution below for those who is interested to know the answer.</em>

<u>Simplify the second equation and solve by substitution x = 50 - y:</u>

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  • 0.6y = 7.5
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